Investigation of Boundary Functionals for Renewal-Reward Process with a Generalized Reflecting Barrier

Authors : Tahir KHANİYEV, Başak GEVER, Zulfiye HANALİOGLU

Pages : 1-14

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Publication Date : 2016-05-26

Article Type : Research Paper

Abstract :In this study, renewal - reward process with a generalized reflecting barrier insert ignore into journalissuearticles values(Xinsert ignore into journalissuearticles values(t);); and its three boundary functionals are mathematically constructed. Next, the asymptotic expansions are obtained for the first four moments of these boundary functionals of the process Xinsert ignore into journalissuearticles values(t);.
Keywords : Renewal reward process, Boundary functional, Asymptotic expansion, Reflecting barrier